Sequences and related closure and compactness properties in frames
type: Item
instance of: scholarly article
title: Sequences and related closure and compactness properties in frames
author: Jacques Masuret
author: David Holgate
author: M. Sioen
published in: Topology and its Applications
publication date: 2022-02-25T00:00:00Z
review text: The paper introduces concepts of sequence and sequence convergence in the point-free setting and uses them to define sequential closedness and associated compactness properties in frames. The interplay of these closure and compactness notions are investigated. Relating back to the pointed setting provides additional insight into an asymmetric Kuratowski-Mrówka-type theorem for countable compactness in general topology.
reviewed by: Minani Iragi
Mathematics Subject Classification ID: 06D22
Mathematics Subject Classification ID: 54A20
Mathematics Subject Classification ID: 54D30
zbMATH DE Number: 7481215
zbMATH Keywords: frame
zbMATH Keywords: point-free topology
zbMATH Keywords: sequence
zbMATH Keywords: countable compactness
zbMATH Keywords: sequentially closed
MaRDI profile type: Publication
full work available at URL: j.topol.2021.107912
OpenAlex ID: W3211694931
cites work: Q3411966
cites work: Q4405740
cites work: Q4464694
cites work: Q3994935
cites work: A generalisation of the functional approach to compactness
cites work: Q4852953
cites work: Q3965241
cites work: Frames and Locales
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cites work: Categories of diametric frames
DOI: 10.1016/J.TOPOL.2021.107912
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description: scientific article; zbMATH DE number 7481215